Tangent Cones of Bresinsky and Arslan Curves
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866915176457961472 |
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| author | Mehta, Ranjana Saha, Joydip |
| author_facet | Mehta, Ranjana Saha, Joydip |
| contents | In this paper, we study the Apery tables for the numerical semigroups given by Bresinsky and Arslan. Using the Apery tables we write the tangent cones of the Bresinsky and Arsalan curves at the origin. Further, we calculate Hilbert series of the tangent cone of the Bresinsky and Arslan curves. We prove that both classes of the curve have Cohen- Macaulay tangent cone. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_20649 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tangent Cones of Bresinsky and Arslan Curves Mehta, Ranjana Saha, Joydip Commutative Algebra In this paper, we study the Apery tables for the numerical semigroups given by Bresinsky and Arslan. Using the Apery tables we write the tangent cones of the Bresinsky and Arsalan curves at the origin. Further, we calculate Hilbert series of the tangent cone of the Bresinsky and Arslan curves. We prove that both classes of the curve have Cohen- Macaulay tangent cone. |
| title | Tangent Cones of Bresinsky and Arslan Curves |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2502.20649 |